Generators and relations for Schur algebras

DOI10.1090/S1079-6762-01-00094-4zbMath0986.16012arXivmath/0104099MaRDI QIDQ2761167

Anthony Giaquinto, Stephen R. Doty

Publication date: 17 December 2001

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0104099

zbMATH Keywords

relationsSchur algebrasfinite-dimensional algebraspresentationsgeneratorsbasesenveloping algebrasquantized enveloping algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Finite rings and finite-dimensional associative algebras (16P10) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Universal enveloping (super)algebras (17B35)

Related Items (3)

A geometric realisation of 0-Schur and 0-Hecke algebras. ⋮ Cellular bases of generalised q-Schur algebras ⋮ Presenting q-Schur algebras as quotients of the quantized enveloping algebra of sln

Cites Work

• Unnamed Item
• Unnamed Item
• A geometric setting for the quantum deformation of \(\mathrm{GL}_n\)
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Hecke algebras of type \(A_ n\) and subfactors
• \(q\)-Schur algebras as quotients of quantized enveloping algebras
• Polynomial representations of \(GL_n\)
• Presenting Schur algebras as quotients of the universal enveloping algebra of \(\mathfrak{gl}_2\).
• Introduction to quantum groups

This page was built for publication: Generators and relations for Schur algebras